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Finding the Fourth Proportional to 477,213.03, 715,782.32 and 277,405.97

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Solution

The fourth proportional to 477,213.03, 715,782.32 and 277,405.97 is: 416,087.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,213.03 : 715,782.32 = 277,405.97 : x
  2. Step 2: Convert to fraction form
    477,213.03/715,782.32 = 277,405.97/x
  3. Step 3: Cross multiply
    477,213.03x = 715,782.32 × 277,405.97
  4. Step 4: Simplify right side
    477,213.03x = 198,562,283,822.51
  5. Step 5: Solve for x
    x = 198,562,283,822.51/477,213.03
  6. Step 6: Final answer
    x = 416,087.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.